Search a number
-
+
85637925 = 3352172439
BaseRepresentation
bin1010001101010…
…11101100100101
312222010212011000
411012223230211
5133410403200
612255303513
72056624152
oct506535445
9188125130
1085637925
114438204a
122481ab99
1314985639
14b533229
1577b9300
hex51abb25

85637925 has 72 divisors (see below), whose sum is σ = 167499200. Its totient is φ = 42888960.

The previous prime is 85637917. The next prime is 85637927. The reversal of 85637925 is 52973658.

It is a happy number.

85637925 is a `hidden beast` number, since 8 + 5 + 637 + 9 + 2 + 5 = 666.

It is not a de Polignac number, because 85637925 - 23 = 85637917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85637927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194856 + ... + 195294.

Almost surely, 285637925 is an apocalyptic number.

85637925 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85637925 is a deficient number, since it is larger than the sum of its proper divisors (81861275).

85637925 is a wasteful number, since it uses less digits than its factorization.

85637925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 464 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 85637925 is about 9254.0761289283. The cubic root of 85637925 is about 440.7801671709.

It can be divided in two parts, 856 and 37925, that added together give a triangular number (38781 = T278).

The spelling of 85637925 in words is "eighty-five million, six hundred thirty-seven thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 85 135 153 225 255 289 425 439 459 675 765 867 1275 1317 1445 2195 2295 2601 3825 3951 4335 6585 7225 7463 7803 10975 11475 11853 13005 19755 21675 22389 32925 37315 39015 59265 65025 67167 98775 111945 126871 186575 195075 201501 296325 335835 380613 559725 634355 1007505 1141839 1679175 1903065 3171775 3425517 5037525 5709195 9515325 17127585 28545975 85637925